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1525768530 = 23511131720921
BaseRepresentation
bin101101011110001…
…0110000101010010
310221100000001221120
41122330112011102
511111044043110
6411222303110
752544550516
oct13274260522
93840001846
101525768530
11713290530
12366b87a96
131b4145220
141068d0146
158de39870
hex5af16152

1525768530 has 128 divisors (see below), whose sum is σ = 4555305216. Its totient is φ = 321331200.

The previous prime is 1525768501. The next prime is 1525768537. The reversal of 1525768530 is 358675251.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1525768537) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62470 + ... + 83390.

It is an arithmetic number, because the mean of its divisors is an integer number (35588322).

Almost surely, 21525768530 is an apocalyptic number.

1525768530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1525768530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2277652608).

1525768530 is an abundant number, since it is smaller than the sum of its proper divisors (3029536686).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1525768530 is a wasteful number, since it uses less digits than its factorization.

1525768530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20972.

The product of its (nonzero) digits is 252000, while the sum is 42.

The square root of 1525768530 is about 39061.0871584496. The cubic root of 1525768530 is about 1151.2320834097.

The spelling of 1525768530 in words is "one billion, five hundred twenty-five million, seven hundred sixty-eight thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 17 22 26 30 33 34 39 51 55 65 66 78 85 102 110 130 143 165 170 187 195 221 255 286 330 374 390 429 442 510 561 663 715 858 935 1105 1122 1326 1430 1870 2145 2210 2431 2805 3315 4290 4862 5610 6630 7293 12155 14586 20921 24310 36465 41842 62763 72930 104605 125526 209210 230131 271973 313815 355657 460262 543946 627630 690393 711314 815919 1066971 1150655 1359865 1380786 1631838 1778285 2133942 2301310 2719730 2991703 3451965 3556570 3912227 4079595 4623541 5334855 5983406 6903930 7824454 8159190 8975109 9247082 10669710 11736681 13870623 14958515 17950218 19561135 23117705 23473362 27741246 29917030 39122270 44875545 46235410 50858951 58683405 69353115 89751090 101717902 117366810 138706230 152576853 254294755 305153706 508589510 762884265 1525768530